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Finding the Fourth Proportional to 384.28, 528.93 and 321.42

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Solution

The fourth proportional to 384.28, 528.93 and 321.42 is: 442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.28 : 528.93 = 321.42 : x
  2. Step 2: Convert to fraction form
    384.28/528.93 = 321.42/x
  3. Step 3: Cross multiply
    384.28x = 528.93 × 321.42
  4. Step 4: Simplify right side
    384.28x = 170,008.68
  5. Step 5: Solve for x
    x = 170,008.68/384.28
  6. Step 6: Final answer
    x = 442.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.